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please please help!!! ASAP ASAP!!!!!!!!!! 10 points after first hour?
Which of the following is the solution of log v(x - 5) 0.001 = -3 ? (3 points)
A) x = 5
B) x = 7
C) x = 13
D) x = 15
4 Answers
- RyanLv 69 years agoFavorite Answer
log v(x - 5) 0.001 = -3
(x-5)^-3 = 0.001
1/(x-5)^3 = 0.001
1 = 0.001(x-5)^3
1 = 0.001(x^2-10x+25)(x-5)
1 = 0.001(x^3-5x^2-10x^2+50x+25x-125)
1 = 0.001(x^3-15x^2+75x-125)
1000 = x^3-15x^2+75x-125
x^3-15x^2+75x-1125 = 0
x^2(x-15)+75(x-15) = 0
(x^2+75)(x-15) = 0
x = √-75, x = 15
X = 15
DDDDDDDDDDDDDDDDDD
You can check by plugging it into the original equation.
log v(x - 5) 0.001 = -3
log v(15 - 5) 0.001 = -3
log v(10) 0.001 = -3
10^-3 = 0.001
0.001 = 0.001
- 9 years ago
10^-3 = 0.001
So, x - 5 = 10
x - 5 = 10
x = 15
D)
I'm assuming that "v" means "base."
